Water Glasses on a shelf are broken and must be replaced.  The replacement cost can be cut in half if you can figure out how many glasses were broken.  Here are your clues:  There were more than 24 glasses, but less than 100 glasses. If the glasses were in rows of 6, there would be 3 left over. If the glasses were in rows of 8, there would be 7 left over.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 53SE: Susan bought 20 plants to arrange along the border of her garden. How many distinct arrangements can...
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Water Glasses on a shelf are broken and must be replaced. 

The replacement cost can be cut in half if you can figure out how many glasses were broken. 

Here are your clues: 

  • There were more than 24 glasses, but less than 100 glasses.

  • If the glasses were in rows of 6, there would be 3 left over.

  • If the glasses were in rows of 8, there would be 7 left over. 

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How many glasses would be left over if you arranged the glasses in rows of 24? Explain your thinking. You can attach an image if
you'd like.
Transcribed Image Text:How many glasses would be left over if you arranged the glasses in rows of 24? Explain your thinking. You can attach an image if you'd like.
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